Fredholm boundary- value problems with parameter in Sobolev— Slobodetsky spaces
DOI:
https://doi.org/10.15407/dopovidi2021.04.003Keywords:
inhomogeneous boundary-value problem, continuity of a solution in a parameter, Sobolev—Slobodetskiy spaceAbstract
The solutions of linear boundary-value problems for systems of ordinary differential equations, which belong to a given Sobolev —Slobodetsky space Wsp , 1 ≤ p <∞, s >1, are studied. Necessary and sufficient conditions for their continuity in a parameter are found. The applications to multipoint boundary-value problems are obtained.
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